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A Projection Algorithm for Solving the Split Variational Inequality Problem

Biao Qu, Na Zheng, Binghua Liu


The split variational inequality problem (SVIP) was first introduced by Censor, Gibali and Reich in 2012. Inspired by the method of finding common fixed-points, we first transform the SVIP to a two-sets common fixed-point problem by constructing a new operator in this paper. Then, we propose an alternating projection algorithm for solving it. We obtain a strong convergence result which improves the related results in the literature.


split variational inequality problem, alternating projection algorithm, fixed-point, strong convergence.

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